Outlander could become “a victim of its own success” due to the huge numbers of fans flocking to historic sites linked to the show.

Research published in March revealed that attractions such as Lallybroch ( Midhope Castle ) and Doune Castle ( Castle Leoch ) in Outlander, which has turned lead actors Sam Heughan and Caitriona Balfe into huge stars, saw visitor numbers soar by an average of 67 per cent since it went into production in 2013.

However VisitScotland said it was now trying to ensure that sites were not “over-promoted” and was encouraging Outlander’s fans to be “respecting” of the nation’s heritage and culture.

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The tourism agency said it was aware of fans having to be rescued from “dangerous” Outlander locations which had not appeared in official maps. It revealed it is also working with Transport Scotland and travel companies to try to ensure services are better linked up and reduce the risk of fans being left stranded.

Doune Castle, Linlithgow Palace, Blackness Castle and Craigmillar Castle are among the attractions Historic Environment Scotland (HES) has allowed Outlanderto use. The agency revealed the success of the show had inspired it to “pro-actively” seek new film and TV productions to work with. But it also admitted it was more difficult to close down Outlander locations for other productions because of the risk of having to turn away huge numbers disappointed fans. It has also reported growing problems at sites which have not been used as locations, but have close links to the show, including the Callanish Stones on the Isle of Lewis, the Ring of Brodgar in Orkney, and Clava Cairns near Inverness.

Speaking at XpoNorth, the annual creative industries conference in the Highlands, Audrey Jones, head of filming at HES, said: “We’re having issues with sites that are just so popular now. We’re looking at timed tickets, capacity management and investing in infrastructure to make it more pleasurable for people. If you had come to Doune Castle five years ago there would probably have been hardly anyone else there. You don’t want to be rammed in with a thousand other people. It’s not a nice experience.

“There are obviously people who have never heard of Outlander and don’t understand why this beautiful castle that they came to five years ago is suddenly mobbed. It’s about making sure that they also have a good experience.

“Conservation is our raison d’être. We’re trying to make sure that people don’t trample over sites like Clava Cairns, the Ring of Brodgar and the Callanish Stones.

“We now have rangers and conservation teams going around our sites checking on them and speaking to people, particularly at remote sites, which were always unmanned and where people could wander about at will. There’s now a degree of herding and trampling going on now. We’re having to police it a lot more.

Jones added: “We’ve now started to have drones everywhere. People flying them across properties where Outlander has been filmed to get aerial shots has become a major issue for us. We’ve had to increase our presence at previously unstaffed sites to cope with that and protect them.

“In some ways, Outlander has been a victim of its own success. It now costs us more to close a property down as we have more visitors. It’s a commercial challenge which we obviously try to overcome as we don’t want to be seen as the bad guys.

“It’s also become more and more challenging to afford privacy during filming. When Outlander began filming no-one had really heard about it or knew the actors. Now we have to close sites down because screaming fans are everywhere if they know filming is going on.”

VisitScotland film manager Jenni Steele said: “Moving people around sites and sustainable tourism is really important to us. We want to make sure we’re looking after our heritage and our tourism sites for the future. It’s about making sure everyone is respecting of our culture and heritage, and also making sure there’s a balance between promoting sites without over-promoting them.”